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Finding the Fourth Proportional to 514,119.44, 771,211.83 and 159,103.64

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Solution

The fourth proportional to 514,119.44, 771,211.83 and 159,103.64 is: 238,665.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,119.44 : 771,211.83 = 159,103.64 : x
  2. Step 2: Convert to fraction form
    514,119.44/771,211.83 = 159,103.64/x
  3. Step 3: Cross multiply
    514,119.44x = 771,211.83 × 159,103.64
  4. Step 4: Simplify right side
    514,119.44x = 122,702,609,364.06
  5. Step 5: Solve for x
    x = 122,702,609,364.06/514,119.44
  6. Step 6: Final answer
    x = 238,665.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.